Final answer:
To determine which points lie on the x-axis, look for ordered pairs with a y-coordinate of 0. In the provided data, the points (-2,0) and (2,0) lie on the x-axis. Plotting data pairs helps to visualize the relationship between x and y on a graph.
Step-by-step explanation:
If we want to determine how many of the given ordered pairs lie on the x-axis, we will need to understand the properties of points that lie on the x-axis. A point lies on the x-axis if its y-coordinate is 0. The given ordered pairs are (-2,0), (-1, -3), (0, -4), (1, -3), and (2,0). From these, we can see that the pairs (-2,0) and (2,0) have y-coordinates of 0. Therefore, these points lie on the x-axis.
Now let's consider the graphing of data pairs more generally. When plotting data pairs on a graph, you position each point by moving along the x-axis to the x-coordinate and then vertically to the y-coordinate. Data pairs like (1,5), (2,10), (3,7), and (4,14) can be connected to visualize the dependence of y on x. Moreover, when the function is given, such as y = x² + 2, we can calculate specific data pairs and plot them to represent the function graphically.